1. Randomly survey 30 classmates about the number of pairs of shoes they own. Record their values. ___7__ 8_____ 6_____ 2_____ 2_____ 12_____ 8_____ 18_____ 4_____ 7_____ 5_____ 6_____ 7_____ 8_____ __4___ 8_____ 8_____ 5_____ 5_____ _9____ ___10__ 9_____ 8_____ 7_____ 7_____ 12_____ 8_____ 6_____ 6_____ 7_____ Survey Results 2. Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil and scale the axes. 3. Calculate the following values. x= _____ s = _____ 4. Are the data discrete or continuous? How do you know? 5. In complete sentences, describe the shape of the histogram. 6. Are there any potential outliers? List the value(s) that could be outliers. Use a formula to check the end values to determine if they are potential outliers.

Analyze the Data 1. Determine the following values. Min = _____ M = _____ Max = _____ Q1 = _____ Q3 = _____ IQR = _____ 2. Construct a box plot of data 3. What does the shape of the box plot imply about the concentration of data? Use complete sentences. 4. Using the box plot, how can you determine if there are potential outliers? 5. How does the standard deviation help you to determine concentration of the data and whether or not there are potential outliers? 6. What does the IQR represent in this problem? 7. Show your work to find the value that is 1.5 standard deviations: a. above the mean. b. below the mean.